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Finding the Fourth Proportional to 1,493.48, 2,240.24 and 569.46

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Solution

The fourth proportional to 1,493.48, 2,240.24 and 569.46 is: 854.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,493.48 : 2,240.24 = 569.46 : x
  2. Step 2: Convert to fraction form
    1,493.48/2,240.24 = 569.46/x
  3. Step 3: Cross multiply
    1,493.48x = 2,240.24 × 569.46
  4. Step 4: Simplify right side
    1,493.48x = 1,275,724.22
  5. Step 5: Solve for x
    x = 1,275,724.22/1,493.48
  6. Step 6: Final answer
    x = 854.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.